Results 41 to 50 of about 470 (149)
Sobolev spaces with non-Muckenhoupt weights, fractional elliptic operators, and applications [PDF]
, 2018 We propose a new variational model in weighted Sobolev spaces with non-standard weights and applications to image processing. We show that these weights are, in general, not of Muckenhoupt type and therefore the classical analysis tools may not apply ...
Rautenberg, Carlos N., Antil, Harbir
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Commutators of Multilinear Singular Integrals on Weighted Herz Spaces
Journal of Function Spaces, 2015 Suppose b→=(b1,…,bm)∈(BMO)m, TΠb is the iterated commutator of b→ and the m-linear Calderón-Zygmund operator T. The purpose of this paper is to discuss the boundedness properties of TΠb on weighted Herz spaces with general Muckenhoupt weights.
Baozhen Wang, Huimin Wang
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Muckenhoupt-type weights and the intrinsic structure in Bessel Setting [PDF]
, 2023 Fix $\lambda>-1/2$ and $\lambda \not=0$. Consider the Bessel operator (introduced by Muckenhoupt--Stein) $\triangle_\lambda:=-\frac{d^2}{dx^2}-\frac{2\lambda}{x} \frac d{dx}$ on $\mathbb{R_+}:=(0,\infty)$ with $dm_\lambda(x):=x^{2\lambda}dx$ and $dx ...
Lin, Fred Yu-Hsiang +3 more
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Double Points Local Hardy-Littlewood Maximal Operator
Abstract and Applied Analysis, 2013 A double points local Hardy-Littlewood maximal operator Ma,b,k,loc is defined and investigated in Euclidean spaces. It is proved that Ma,b,k,loc is bounded on Lpw when p>1 and from L1w to L1,∞w with weight function w∈Aa,b,k,loc, the class of double ...
Futao Song, Na Ju
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BMO and the John-Nirenberg Inequality on Measure Spaces
Analysis and Geometry in Metric Spaces, 2020 We study the space BMO𝒢 (𝕏) in the general setting of a measure space 𝕏 with a fixed collection 𝒢 of measurable sets of positive and finite measure, consisting of functions of bounded mean oscillation on sets in 𝒢.
Dafni Galia, Gibara Ryan, Lavigne Andrew
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The sharp A(p) constant for weights in a reverse-Holder class [PDF]
, 2009 Coifman and Fefferman established that the class of Muckenhoupt weights is equivalent to the class of weights satisfying the "reverse Holder inequality". In a recent paper V.
Dindos, Martin; id_orcid, Wall, Treven
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Современная наука и инновации, 2022 For the Riesz potential operator there are proved weighted estimates within the framework of weighted Lebesgue spaces with variable exponent. In case is a bounded do-main, the order potential is allowed to be variable as well.
Boris G. Vaculov +2 more
doaj
Characterization of mixed modulus of smoothness in weighted \(L^p\) spaces
Journal of Numerical Analysis and Approximation Theory, 2016 Characterization class for mixed modulus of smoothness in Lebesgue spaces with Muckenhoupt weights are investigated.
Ramazan Akgün
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Toeplitz Operators on Abstract Hardy Spaces Built upon Banach Function Spaces
Journal of Function Spaces, 2017 Let X be a Banach function space over the unit circle T and let H[X] be the abstract Hardy space built upon X. If the Riesz projection P is bounded on X and a∈L∞, then the Toeplitz operator Taf=P(af) is bounded on H[X].
Alexei Yu. Karlovich
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A description of weights satisfying the 𝐴_{∞} condition of Muckenhoupt [PDF]
Proceedings of the American Mathematical Society, 1984 A nonnegative weight w w on
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